The Bottom of the Spectrum of Time-Changed Processes and the Maximum Principle of Schrödinger Operators

Masayoshi Takeda

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We give a necessary and sufficient condition for the maximum principle of Schrödinger operators in terms of the bottom of the spectrum of time-changed processes. As a corollary, we obtain a sufficient condition for the Liouville property of Schrödinger operators.

Original languageEnglish
Pages (from-to)741-756
Number of pages16
JournalJournal of Theoretical Probability
Volume31
Issue number2
DOIs
Publication statusPublished - 2018 Jun 1

Keywords

  • Dirichlet form
  • Liouville property
  • Maximum principle
  • Schrödinger form
  • Symmetric Hunt process

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

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